Pith Number

pith:CJMEYNTZ

pith:2013:CJMEYNTZBB7UZW55ZC24JHUT5E

not attested not anchored not stored refs pending

Random Latin squares and 2-dimensional expanders

Alexander Lubotzky, Roy Meshulam

arxiv:1307.3582 v1 · 2013-07-12 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJMEYNTZBB7UZW55ZC24JHUT5E}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:18:28.496765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12584c3679087f4cdbbdc8b5c49e93e929774d8ea6fe621d99823d1eb8cb3d2e

Aliases

arxiv: 1307.3582 · arxiv_version: 1307.3582v1 · doi: 10.48550/arxiv.1307.3582 · pith_short_12: CJMEYNTZBB7U · pith_short_16: CJMEYNTZBB7UZW55 · pith_short_8: CJMEYNTZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CJMEYNTZBB7UZW55ZC24JHUT5E \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 12584c3679087f4cdbbdc8b5c49e93e929774d8ea6fe621d99823d1eb8cb3d2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e92d98383c4ed194bea25f7f51956b876afed876497b0e503ea89d75e1aedf8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-12T21:23:27Z",
    "title_canon_sha256": "53f5c71d6ccc95600881f4be115044a385121ab85e182d082be94483bad1bb2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3582",
    "kind": "arxiv",
    "version": 1
  }
}